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25 September, 16:23

Two cards are drawn from a well shuffled standard deck of cards of cards. Match each scenario to its probability

The probability of drawing a red ace followed by another ace if any color without replacement.

The probability of drawing a king followed by a queen with replacement.

The probability of drawing a 3 or a 5 followed by a 4 or a 6 with replacement.

The probability of drawing a spade followed by a jack of any color with replacement.

1/169

1/442

4/169

1/52

+5
Answers (1)
  1. 25 September, 16:45
    0
    Step-by-step explanation:

    "The probability of drawing a red ace followed by another ace of any color without replacement."

    There are 4 aces total, 2 of which are red. After the first red ace is drawn, there will be 3 aces left. So the probability is:

    P = (2/52) (3/51)

    P = 1/442

    "The probability of drawing a king followed by a queen with replacement."

    There are 4 kings and 4 queens. So the probability is:

    P = (4/52) (4/52)

    P = 1/169

    "The probability of drawing a 3 or a 5 followed by a 4 or a 6 with replacement."

    There are 8 cards that are either 3 or 5, and 8 cards that are either 4 or 6. So the probability is:

    P = (8/52) (8/52)

    P = 4/169

    "The probability of drawing a spade followed by a jack of any color with replacement."

    There are 13 spades, and 4 jacks. So the probability is:

    P = (13/52) (4/52)

    P = 1/52
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